A proton moves perpendicular to a uniform magnetic field $B$ at $5{10}^7\frac{m}{s}$ and experiences an acceleration of $6{10}^{13}\frac{m}{s^2}$ in the $+x$ direction when its velocity is in the $+z$ direction. Determine the magnitude and direction of the magnetic field $($in $mT)?($Answer in $2$ decimal places$)$